Some New Properties of Surfaces Generated by Null Cartan Curves

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dc.contributor.authorYavuz, Ayse
dc.contributor.authorErdogdu, Melek
dc.date.accessioned2024-02-23T14:35:24Z
dc.date.available2024-02-23T14:35:24Z
dc.date.issued2022
dc.departmentNEÜen_US
dc.description.abstractIn this paper, some special types of surfaces with null Cartan base curve are investigated. The generating lines of the surfaces are chosen as a linear combination of Cartan frame fields with non-constant differentiable functions. Firstly, the surfaces whose generating lines have the same direction of Cartan frame fields B, N and T are examined respectively. As a special case, Gaussian and mean curvatures of one parameter family of Bertrand curves of a given null Cartan curve and the singular points of this type of surface are stated. Furthermore, an example is also stated to explain the obtained results. Then, the surfaces with null Cartan base curve are investigated where generating lines lie on the planes spanned by {N, B}, {T, B} and {T, N}, respectively. Finally, some differential geometric properties of these surface are given mainly in three different cases.en_US
dc.identifier.doi10.36890/IEJG.963159
dc.identifier.endpage131en_US
dc.identifier.issn1307-5624
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85129573554en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage116en_US
dc.identifier.urihttps://doi.org/10.36890/IEJG.963159
dc.identifier.urihttps://hdl.handle.net/20.500.12452/16009
dc.identifier.volume15en_US
dc.identifier.wosWOS:000795585200013en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherInt Electronic Journal Geometryen_US
dc.relation.ispartofInternational Electronic Journal Of Geometryen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCartan Frameen_US
dc.subjectBertrand Curveen_US
dc.subjectNull Cartan Curveen_US
dc.titleSome New Properties of Surfaces Generated by Null Cartan Curvesen_US
dc.typeArticleen_US

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